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Finding the Fourth Proportional to 4,207.88, 5,806.88 and 2,319.42

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Solution

The fourth proportional to 4,207.88, 5,806.88 and 2,319.42 is: 3,200.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,207.88 : 5,806.88 = 2,319.42 : x
  2. Step 2: Convert to fraction form
    4,207.88/5,806.88 = 2,319.42/x
  3. Step 3: Cross multiply
    4,207.88x = 5,806.88 × 2,319.42
  4. Step 4: Simplify right side
    4,207.88x = 13,468,593.61
  5. Step 5: Solve for x
    x = 13,468,593.61/4,207.88
  6. Step 6: Final answer
    x = 3,200.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.